I used your setup for years and it’s a simple way to carry a little bit of redundancy. The only issue is simply that a 19’ bottle won’t last long at a serious depth.
A 19 would be had to sling and the 40s are easier to sling and have the advantage of being able to see the valve etc.
If your diving isn’t deeper than 100’ or so, your setup will do the job. Just be sure to check the tank is full before each dive.
For sure, 19 is not big, but I'm solidly a rec diver. I'm not pushing any limits.